Greatest Common Factor of 968/243, 467/842, 208/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/243, 467/842, 208/777

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 968/243,467/842,208/777

Given fractions are 968/243,467/842,208/777

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 968,467,208

Greatest Common Factor of Numerators i.e. GCF of 968,467,208 is 1 .

LCM of Denominators means LCM of 243,842,777 as per the given fractions.

LCM of 243,842,777 is 52992954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,467,208

GCF of Fractions 968/243,467/842,208/777 is 1/52992954

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 968,467,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,467,208 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 968,467,208 . The biggest common factor number is the GCF number.
So the greatest common factor 968,467,208 is 1.

Lets's calculate LCM of 243,842,777

3 243, 842, 777
81, 842, 259

∴ So the LCM of the given numbers is 3 x 81 x 842 x 259 = 52992954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52992954

Therefore, the GCF of Fractions 968/243,467/842,208/777 is 1/52992954

Least Common Multiple of 243,842,777 with GCF Formula

Least Common Multiple of 243,842,777 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 243,842,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,842,777) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(243,842,777) x common factors =1 x 3 = 3

LCM(243,842,777) = ( 243 × 842 × 777 ) / 3

LCM(243,842,777) = 158978862 / 3

LCM(243,842,777) = 52992954


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 968/243, 467/842, 208/777

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 968/243, 467/842, 208/777?

Answer: GCF of Numerators as per given numbers 968/243, 467/842, 208/777 is

GCF of Numerators i.e. for 968,467,208 is 1

LCM of denominators i.e. for 243,842,777 is 52992954.

Thus, GCF of Fractions is 1/52992954.Finally, GCF of Fractions for 968/243, 467/842, 208/777 is 1/52992954.